James Arthur (mathematician)
James Arthur | |
---|---|
Born | Hamilton, Ontario, Canada | May 18, 1944
Alma mater | University of Toronto (BSc, MSc) Yale University (PhD) |
Known for | Arthur–Selberg trace formula Arthur conjectures |
Awards | John L. Synge Award (1987) Jeffery–Williams Prize (1993) CRM-Fields-PIMS prize (1997) Henry Marshall Tory Medal (1997) Gerhard Herzberg Canada Gold Medal for Science and Engineering (1999) Wolf Prize (2015) Leroy P. Steele Prize for Lifetime Achievement (2017) |
Scientific career | |
Fields | Mathematics |
Institutions | Yale University Duke University University of Toronto |
Thesis | Analysis of Tempered Distributions on Semisimple Lie Groups of Real Rank One (1970) |
Doctoral advisor | Robert Langlands |
Doctoral students | Cristina Ballantine |
James Greig Arthur CC FRSC FRS (born May 18, 1944)[1] is a Canadian mathematician working on automorphic forms, and former President of the American Mathematical Society. He is a Mossman Chair and University Professor Emeritus at the University of Toronto Department of Mathematics.[2]
Education and career
[edit]Born in Hamilton, Ontario, Arthur graduated from Upper Canada College in 1962,[3] received a BSc from the University of Toronto in 1966, and a MSc from the same institution in 1967. He received his PhD from Yale University in 1970. He was a student of Robert Langlands; his dissertation was Analysis of Tempered Distributions on Semisimple Lie Groups of Real Rank One.[4]
Arthur taught at Yale from 1970 until 1976. He joined the faculty of Duke University in 1976. He has been a professor at the University of Toronto since 1978.[1] He was four times a visiting scholar at the Institute for Advanced Study between 1976 and 2002.[5]
Contributions
[edit]Arthur is known for the Arthur–Selberg trace formula, generalizing the Selberg trace formula from the rank-one case (due to Selberg himself) to general reductive groups, one of the most important tools for research on the Langlands program. He also introduced the Arthur conjectures.
Recognition
[edit]Arthur was elected a Fellow of the Royal Society of Canada in 1981 and a Fellow of the Royal Society in 1992.[6][7] In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.[8] He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 2003.[9] In 2012 he became a fellow of the American Mathematical Society.[10] He was elected as a fellow of the Canadian Mathematical Society in 2019.[11]
References
[edit]- ^ a b "James Greig Arthur". International Mathematical Union. Archived from the original on August 15, 2011. Retrieved April 25, 2011.
- ^ "Arthur, James". University of Toronto Department of Mathematics. Retrieved April 21, 2024.
- ^ "UCC community members join Order of Canada". Upper Canada College. January 17, 2019. Retrieved November 19, 2019.
- ^ James Arthur at the Mathematics Genealogy Project
- ^ Institute for Advanced Study: A Community of Scholars Archived January 6, 2013, at the Wayback Machine
- ^ "Search Fellows". Royal Society of Canada. Archived from the original on January 31, 2019. Retrieved September 7, 2017.
- ^ "James Arthur". Royal Society. Retrieved April 3, 2018.
- ^ Arthur, James (1998). "Towards a stable trace formula". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 507–517.
- ^ "Book of Members, 1780–2010: Chapter A" (PDF). American Academy of Arts and Sciences. Retrieved April 25, 2011.
- ^ "List of Fellows of the American Mathematical Society". Retrieved November 3, 2012.
- ^ Canadian Mathematical Society's Second Inaugural Class of Fellows Announced, Canadian Mathematical Society, retrieved January 6, 2020
Further reading
[edit]- Langlands, Robert P. (2001). "The trace formula and its applications: an introduction to the work of James Arthur". Canadian Mathematical Bulletin. 44 (2): 160–209. doi:10.4153/CMB-2001-020-8. ISSN 0008-4395. MR 1827854. S2CID 124942105.